{"title":"Types in torsion free Abelian groups","authors":"Elena Bunina","doi":"arxiv-2409.07728","DOIUrl":null,"url":null,"abstract":"In this paper we study (logical) types and isotypical equivalence of torsion\nfree Abelian groups. We describe all possible types of elements and standard\n2-tuples of elements in these groups and classify separable torsion free\nAbelian groups up to isotypicity.","PeriodicalId":501037,"journal":{"name":"arXiv - MATH - Group Theory","volume":"62 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Group Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.07728","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this paper we study (logical) types and isotypical equivalence of torsion
free Abelian groups. We describe all possible types of elements and standard
2-tuples of elements in these groups and classify separable torsion free
Abelian groups up to isotypicity.
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